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lorasvet [3.4K]
3 years ago
8

Which value of x satisfies both -9x + 4y = 8 and -3x − y = 4 given the same value of y?

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0
Multiply 2nd equaton by 4 and add to first

-9x+4y=8
<u>-12x-4y=16 +</u>
-21x+0y=24

-21x=24
divide both sides by -21
x=-24/21
x=-8/7

C is answer
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A bag contains three marbles, eight blue marbles and nine red marbles. If the marbles are picked at random, what is the probabil
Phoenix [80]

The probability of obtaining two blue marbles without replacement is equal to 0.15.

We are given that:

The number of yellow marbles = 3

Number of red marbles = 9

Number of Blue marbles = 8

Total marbles = 3 + 9 + 8

Total marbles = 20

Now, we have to calculate the probability of obtaining two blue marbles without replacement.

The probability will be:

P( obtaining two blue marbles without replacement )  = 8 / 20 × 7 / 19

P( obtaining two blue marbles without replacement )  = 56 / 380

P( obtaining two blue marbles without replacement )  = 0.15

Therefore, the probability of obtaining two blue marbles without replacement is equal to 0.15.

Learn more about probability here:

brainly.com/question/24756209

#SPJ9

5 0
2 years ago
A game costs $39.00. But the new special edition version is going to be $56.94. What is the increased percent?
astraxan [27]

Answer:

46%

Step-by-step explanation:

<u>Step 1:  Make an expression</u>

<u />39.00 * x = 56.94

39x = 56.94

<u>Step 2:  Divide both sides by 39</u>

<u />39x / 39 = 56.94 / 39

x = 1.46

<u>Step 3:  Find the percent</u>

<u />1.46 - 1 -> Gives us the increased percent

0.46 * 100

46%

Answer:  46%

8 0
3 years ago
Please help me for this question
rosijanka [135]

The volume of the given trapezoidal prism is 312 cubic units.

Step-by-step explanation:

Step 1:

To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.

The area of a trapezoidal surface, A = \frac{a+b}{2} (h).

a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.

For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.

The area of the trapezoidal surface, A =  \frac{5+8}{2} (4) = 6.5(4) = 26.

So the area of the trapezoidal surface is 26 square units.

Step 2:

To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.

The area is 26 square units and the height of the prism is 12 units.

The volume of the prism, V= 26(12) = 312.

The volume of the given trapezoidal prism is 312 cubic units.

7 0
3 years ago
what are two lines that lie within the same plane and never intersect A.) perpendicular lines B.) parallel lines C.) plane ​
Monica [59]

Parallel Lines lie within the same plane but never intersect

Hope this helps!

6 0
3 years ago
I NEED AN ANSWER FAST PLEASE
Natasha2012 [34]

Answer:

The answer is option b.

y = csc(x) + 2

Hope this helps

6 0
3 years ago
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